Asked by SK
Estimator properties
We estimate the unknown mean θ of a random variable X (where X has a finite and positive variance) by forming the sample mean Mn=(X1+⋯+Xn)/n of n i.i.d. samples Xi and then forming the estimator
Θˆ=Mn+1n.
Is this estimator unbiased?
unanswered
Is this estimator consistent?
unanswered
Consider now a different estimator, Θˆn=X1, which ignores all but the first measurement.
Is this estimator unbiased?
unanswered
Is this estimator consistent?
unanswered
We estimate the unknown mean θ of a random variable X (where X has a finite and positive variance) by forming the sample mean Mn=(X1+⋯+Xn)/n of n i.i.d. samples Xi and then forming the estimator
Θˆ=Mn+1n.
Is this estimator unbiased?
unanswered
Is this estimator consistent?
unanswered
Consider now a different estimator, Θˆn=X1, which ignores all but the first measurement.
Is this estimator unbiased?
unanswered
Is this estimator consistent?
unanswered
Answers
Answered by
Anonymous
1 - No
2 - Yes
3 - Yes
4 - No
2 - Yes
3 - Yes
4 - No
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